Factors of 730
The factors of 730 are 1, 2, 5, 10, 73, 146, 365, and 730. In total, 730 has 8 factors. Its prime factorization is 2 × 5 × 73, and the sum of all its factors is 1332.
All factors of 730
Here are all 8 factors of 730, listed from smallest to largest.
Factor pairs of 730
These 4 pairs of whole numbers each multiply to give 730.
Prime factorization of 730
Dividing 730 by the smallest prime at each step gives its prime factorization:
The distinct prime factors of 730 are 2, 5, 73. To factorize any other number, use the prime factorization calculator.
Factor tree of 730
A factor tree shows the same prime factorization visually. Each composite branch splits until every endpoint is a prime number.
Properties of 730
| Number of factors | 8 |
|---|---|
| Sum of factors | 1332 |
| Sum of proper factors | 602 |
| Prime factorization | 2 × 5 × 73 |
| Prime or composite? | Composite |
| Even or odd? | Even |
| Perfect square? | No |
| Perfect cube? | No |
| Classification | Deficient |
What makes 730 interesting
- 730 is a composite number, meaning it has more than two factors. It can be written as a product of smaller whole numbers in 4 different ways.
- 730 is a deficient number: its proper factors sum to 602, which is 128 less than 730 itself.
- 730 has 3 distinct prime factors (2, 5, 73), which is why it has so many divisors.
How to find the factors of 730 yourself
Divide 730 by each whole number starting from 1. Whenever the division leaves no remainder, both the divisor and the quotient are factors. You only need to test up to √730 ≈ 27.02, because every factor above that pairs with one below it.
Reading both columns gives every factor: 1, 2, 5, 10, 73, 146, 365, 730. The factor calculator does this automatically for any number.
Related numbers
Numbers mathematically connected to 730.
Frequently asked questions about 730
What are the factors of 730?
Is 730 a prime number?
What is the prime factorization of 730?
What two numbers multiply to give 730?
What is the sum of the factors of 730?
Is 730 a perfect square?
What is the largest factor of 730 other than itself?
How many factors does 730 have?
Explore more
Try another number in the factor calculator, break 730 down further with the prime factorization calculator, or compare 730 with another number using the GCF calculator and LCM calculator. For divisor counts and sums, see the divisor calculator.